Hongyan Wang, Associate Professor, Chinese Min University

Xiangke Chang, Associate Professor

Two new integrable differential-difference hierarchies

16:30-17:10 November 5(Saturday), N208

Starting from a discrete spectral problem, two new integrable differential-difference hierarchies are presented and their Lax pairs are given, respectively. The first hierarchy is related to the relativistic Toda lattice equation. Darboux transformations for the first systems in the two hierarchies are derived, respectively, accordingly their explicit solutions are obtained. By selecting appropriate parameters, we can see the phenomena of soliton fission or soliton fusion.